λ
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Atlas › Integer Profiles › Node 28,802,457

28,802,457

32 × 113 × 127 × 223
Deficient Odd Composite

28,802,457 factors as 3^2 × 113 × 127 × 223. Its 24 positive divisors give a proper-divisor sum of 13,689,447, so this integer is deficient. The Collatz stopping time is 237 steps.

Prime Factor Structure

Factorization String 3^2 × 113 × 127 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 42,491,904
Proper Divisor Sum 13,689,447
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #28802453 ← → #28802467

Radix Representation

Decimal 28802457
Binary 1101101110111110110011001 (25 bits)
Octal 0o155676631
Hexadecimal 0x1B77D99

Divisor Catalog (24)

1 3 9 113 127 223 339 381 669 1,017 1,143 2,007 14,351 25,199 28,321 43,053 75,597 84,963 129,159 226,791 254,889 3,200,273 9,600,819 28,802,457

Collatz Trajectory (237 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

28,802,457 86,407,372 43,203,686 21,601,843 64,805,530 32,402,765 97,208,296 48,604,148 24,302,074 12,151,037 36,453,112 18,226,556 9,113,278 4,556,639 13,669,918 6,834,959 20,504,878 10,252,439 30,757,318 15,378,659 46,135,978 23,067,989 69,203,968 34,601,984 17,300,992 8,650,496 4,325,248 2,162,624 1,081,312 540,656 270,328 135,164 67,582 33,791 101,374 50,687 152,062 76,031 228,094 114,047 342,142 171,071 513,214 256,607 769,822 384,911 1,154,734 577,367 1,732,102 866,051 2,598,154 1,299,077 3,897,232 1,948,616 974,308 487,154 243,577 730,732 365,366 182,683

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